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A person in a lift is holding a water jar, which has a small hole at the lower end of its side. When the lift is at rest, the water jet coming out of the hole hits the floor of the lift at a distance of 1.2 m from the person. In the following, state of the lift’s motion is given in List I and the distance where the water jet hits the floor of the lift is given in List II. Match the statements from List I with those in List II and select the correct answer using the code given below the list.

List I

List II

P. Lift is accelerating vertically up

1. $d = 1.2 m$

Q. Lift is accelerating vertically down with an acceleration less than the gravitational acceleration

2. $d > 1.2 m$

R. Lift is moving vertically up with constant speed

3. $d < 1.2 m$

S. Lift is falling freely

4. No water leaks out of the jar

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$P - 2 Q - 3 R - 2 S - 4$

$P - 2 Q - 3 R - 1 S - 4$

$P - 1 Q - 1 R - 1 S - 4$

$P - 2 Q - 3 R - 1 S - 1$

answer is C.

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Detailed Solution

$h_{1} = h e i g h t o f w a t e r a b o v e t h e h o l e h_{2} = h e i g h t o f w a t e r b e l o w t h e h o l e$

(P) $g_{e f f} > g, d = \sqrt{4 h_{1} h_{2}} = 1.2 m$

(Q) $g_{e f f} < g, d = \sqrt{4 h_{1} h_{2}} = 1.2 m$

(R) $g_{e f f} = g, d = \sqrt{4 h_{1} h_{2}} = 1.2 m$

(S) $g_{e f f} = 0,$ No water leaks out of the jar.

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